Moritz Doll

activity

20172026

most citedRefined Weyl law for homogeneous perturbations of the harmonic oscillator

9 citations · 11 across the 7 of their papers we have counts for

collaborators

9 papers

math.SP2026

The divisor of the twisted Selberg zeta function

Moritz Doll, Anke Pohl

For the Selberg zeta function of geometrically finite infinite-area hyperbolic orbisurfaces with twists by finite-dimensional unitary representations, we establish a factorization…

math.SP2022

Scattering Theory with Unitary Twists

Moritz Doll, Ksenia Fedosova, Anke Pohl

We study the spectral properties of the Laplace operator associated to a hyperbolic surface in the presence of a unitary representation of the fundamental group. Following the appr…

math.SP2021

Counting Resonances on Hyperbolic Surfaces with Unitary Twists

Moritz Doll, Ksenia Fedosova, Anke Pohl

We present the Laplace operator associated to a hyperbolic surface $Γ ∖ H$ and a unitary representation of the fundamental group $Γ$ , extending the previous definiti…

math.FA2019

Weyl Law on Asymptotically Euclidean Manifolds

Sandro Coriasco, Moritz Doll

We study the asymptotic behaviour of the eigenvalue counting function for self-adjoint elliptic linear operators defined through classical weighted symbols of order $(1, 1)$ , on an…

math.AP2019★ 2 cited

A Partial Data Problem in Linear Elasticity

Moritz Doll, André Froehly, René Schulz

We discuss the determination of the Lamé parameters of an elastic material by the means of boundary measurements. We will combine previous results of Eskin-Ralston and Isakov to pr…

math.AP2018

Schrödinger Trace Invariants for Homogeneous Perturbations of the Harmonic Oscillator

Moritz Doll, Steve Zelditch

Let $H = H_{0} + P$ denote the harmonic oscillator on $R^{d}$ perturbed by an isotropic pseudodifferential operator $P$ of order $1$ and let $U(t) = \operatorname{exp}(- it H)…

math.AP2018

Lagrangian distributions on asymptotically Euclidean manifolds

Sandro Coriasco, Moritz Doll, René M. Schulz

We develop the notion of Lagrangian distribution on scattering manifolds, meaning on the compactified cotangent bundle, which is a manifold with corners equipped with a scattering…

math.AP2017

Recurrence of singularities for second order isotropic pseudodifferential operators

Moritz Doll

Let $H$ be a self-adjoint isotropic elliptic pseudodifferential operator of order $2$ . Denote by $u (t)$ the solution of the Schrödinger equation $(i \partial_{t} - H) u = 0$ with initi…

math.AP2017★ 9 cited

Refined Weyl law for homogeneous perturbations of the harmonic oscillator

Moritz Doll, Oran Gannot, Jared Wunsch

Let $H$ denote the harmonic oscillator Hamiltonian on $R^{d},$ perturbed by an isotropic pseudodifferential operator of order $1.$ We consider the Schrödinger propagator $U(…